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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP224_1 : TPTP v9.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AHXB9VtG61 true

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Oct  2 04:39:20 PM UTC 2025

% Result   : Theorem 61.78s 9.48s
% Output   : Refutation 61.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   26 (  22 unt;   0 typ;   0 def)
%            Number of atoms       :   31 (  24 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   59 (   6   ~;   3   |;   1   &;  48   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    7 (   6 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :    6 (   0   ^;   6   !;   0   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
thf(bool_type,type,
    bool: $tType ).

thf(fun_nat_bool_type,type,
    fun_nat_bool: $tType ).

thf(vEBT_VEBT_type,type,
    vEBT_VEBT: $tType ).

thf(nat_type,type,
    nat: $tType ).

thf(fun_nat_nat_type,type,
    fun_nat_nat: $tType ).

thf(fun_nat_fun_nat_nat_type,type,
    fun_nat_fun_nat_nat: $tType ).

thf(pp_type,type,
    pp: bool > $o ).

thf(bot_bot_nat_type,type,
    bot_bot_nat: nat ).

thf(aa_nat_bool_type,type,
    aa_nat_bool: fun_nat_bool > nat > bool ).

thf(summary_type,type,
    summary: vEBT_VEBT ).

thf(plus_plus_nat_type,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

thf(aa_nat_nat_type,type,
    aa_nat_nat: fun_nat_nat > nat > nat ).

thf(aa_nat_fun_nat_nat_type,type,
    aa_nat_fun_nat_nat: fun_nat_fun_nat_nat > nat > fun_nat_nat ).

thf(vEBT_invar_vebt_type,type,
    vEBT_invar_vebt: vEBT_VEBT > fun_nat_bool ).

thf(deg_type,type,
    deg: nat ).

thf(zero_zero_nat_type,type,
    zero_zero_nat: nat ).

thf(m_type,type,
    m: nat ).

thf(na_type,type,
    na: nat ).

thf(conj_3,axiom,
    pp @ ( aa_nat_bool @ ( vEBT_invar_vebt @ summary ) @ m ) ).

thf(zip_derived_cl18327,plain,
    pp @ ( aa_nat_bool @ ( vEBT_invar_vebt @ summary ) @ m ),
    inference(cnf,[status(esa)],[conj_3]) ).

thf(conj_5,axiom,
    m = na ).

thf(zip_derived_cl18329,plain,
    m = na,
    inference(cnf,[status(esa)],[conj_5]) ).

thf(zip_derived_cl19584,plain,
    pp @ ( aa_nat_bool @ ( vEBT_invar_vebt @ summary ) @ na ),
    inference(demod,[status(thm)],[zip_derived_cl18327,zip_derived_cl18329]) ).

thf(conj_6,axiom,
    ( deg
    = ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ na ) @ m ) ) ).

thf(zip_derived_cl18330,plain,
    ( deg
    = ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ na ) @ m ) ),
    inference(cnf,[status(esa)],[conj_6]) ).

thf(conj_1,axiom,
    zero_zero_nat = deg ).

thf(zip_derived_cl18325,plain,
    zero_zero_nat = deg,
    inference(cnf,[status(esa)],[conj_1]) ).

thf(fact_9526_bot__nat__def,axiom,
    bot_bot_nat = zero_zero_nat ).

thf(zip_derived_cl16005,plain,
    bot_bot_nat = zero_zero_nat,
    inference(cnf,[status(esa)],[fact_9526_bot__nat__def]) ).

thf(zip_derived_cl18336,plain,
    bot_bot_nat = deg,
    inference(demod,[status(thm)],[zip_derived_cl18325,zip_derived_cl16005]) ).

thf(zip_derived_cl18329_001,plain,
    m = na,
    inference(cnf,[status(esa)],[conj_5]) ).

thf(zip_derived_cl43740,plain,
    ( bot_bot_nat
    = ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ na ) @ na ) ),
    inference(demod,[status(thm)],[zip_derived_cl18330,zip_derived_cl18336,zip_derived_cl18329]) ).

thf(fact_72_zero__eq__add__iff__both__eq__0,axiom,
    ! [X: nat,Y: nat] :
      ( ( zero_zero_nat
        = ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ X ) @ Y ) )
    <=> ( ( X = zero_zero_nat )
        & ( Y = zero_zero_nat ) ) ) ).

thf(zip_derived_cl131,plain,
    ! [X0: nat,X1: nat] :
      ( ( X0 = zero_zero_nat )
      | ( zero_zero_nat
       != ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ X1 ) @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_72_zero__eq__add__iff__both__eq__0]) ).

thf(zip_derived_cl16005_002,plain,
    bot_bot_nat = zero_zero_nat,
    inference(cnf,[status(esa)],[fact_9526_bot__nat__def]) ).

thf(zip_derived_cl16005_003,plain,
    bot_bot_nat = zero_zero_nat,
    inference(cnf,[status(esa)],[fact_9526_bot__nat__def]) ).

thf(zip_derived_cl25668,plain,
    ! [X0: nat,X1: nat] :
      ( ( X0 = bot_bot_nat )
      | ( bot_bot_nat
       != ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ plus_plus_nat @ X1 ) @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl131,zip_derived_cl16005,zip_derived_cl16005]) ).

thf(zip_derived_cl43745,plain,
    ( ( bot_bot_nat != bot_bot_nat )
    | ( na = bot_bot_nat ) ),
    inference('sup-',[status(thm)],[zip_derived_cl43740,zip_derived_cl25668]) ).

thf(zip_derived_cl43774,plain,
    na = bot_bot_nat,
    inference(simplify,[status(thm)],[zip_derived_cl43745]) ).

thf(fact_0_Node_OIH_I2_J,axiom,
    ~ ( pp @ ( aa_nat_bool @ ( vEBT_invar_vebt @ summary ) @ zero_zero_nat ) ) ).

thf(zip_derived_cl0,plain,
    ~ ( pp @ ( aa_nat_bool @ ( vEBT_invar_vebt @ summary ) @ zero_zero_nat ) ),
    inference(cnf,[status(esa)],[fact_0_Node_OIH_I2_J]) ).

thf(zip_derived_cl16005_004,plain,
    bot_bot_nat = zero_zero_nat,
    inference(cnf,[status(esa)],[fact_9526_bot__nat__def]) ).

thf(zip_derived_cl18334,plain,
    ~ ( pp @ ( aa_nat_bool @ ( vEBT_invar_vebt @ summary ) @ bot_bot_nat ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl16005]) ).

thf(zip_derived_cl43784,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl19584,zip_derived_cl43774,zip_derived_cl18334]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : ITP224_1 : TPTP v9.2.0. Released v8.0.0.
% 0.07/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AHXB9VtG61 true
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Wed Oct  1 15:34:38 EDT 2025
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37  % Number of cores: 8
% 0.14/0.37  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.53/0.65  % Total configuration time : 435
% 0.53/0.65  % Estimated wc time : 1092
% 0.53/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.79  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 61.78/9.48  % Solved by fo/fo5.sh.
% 61.78/9.48  % done 6324 iterations in 8.673s
% 61.78/9.48  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 61.78/9.48  % SZS output start Refutation
% See solution above
% 61.78/9.48  
% 61.78/9.48  
% 61.78/9.48  % Terminating...
% 62.11/9.59  % Runner terminated.
% 62.11/9.61  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------